GCD of 880, 665, 300 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 880, 665, 300 i.e. 5 largest integer that divides all the numbers equally.
GCD of 880, 665, 300 is 5
GCD(880, 665, 300) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 665, 300 is 5
GCD(880, 665, 300) = 5
GCDof 880,665,300 is 5
Given Input numbers are 880, 665, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 880, 665, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 665, 300 is 5.
Therefore, GCD of numbers 880, 665, 300 is 5
Given Input Data is 880, 665, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Finding GCD of 880, 665, 300 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(880, 665) = 117040
GCD(880, 665) = ( 880 x 665 ) / 117040
GCD(880, 665) = 585200 / 117040
GCD(880, 665) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 300) = 300
GCD(5, 300) = ( 5 x 300 ) / 300
GCD(5, 300) = 1500 / 300
GCD(5, 300) = 5
GCD of 880, 665, 300 is 5
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FAQs on GCD of numbers 880, 665, 300
1. What is the GCD of 880, 665, 300?
GCD of 880, 665, 300 is 5
2. Where do I get the detailed procedure to find GCD of 880, 665, 300?
You can find a detailed procedure to find GCD of 880, 665, 300 on our page.
3. How to find GCD of 880, 665, 300 on a calculator?
You can find the GCD of 880, 665, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.